• Corpus ID: 13105613

Signal Representations on Graphs: Tools and Applications

@article{Chen2015SignalRO,
  title={Signal Representations on Graphs: Tools and Applications},
  author={Siheng Chen and Rohan Varma and Aarti Singh and Jelena Kovacevic},
  journal={ArXiv},
  year={2015},
  volume={abs/1512.05406}
}
We present a framework for representing and modeling data on graphs. Based on this framework, we study three typical classes of graph signals: smooth graph signals, piecewise-constant graph signals, and piecewise-smooth graph signals. For each class, we provide an explicit definition of the graph signals and construct a corresponding graph dictionary with desirable properties. We then study how such graph dictionary works in two standard tasks: approximation and sampling followed with recovery… 
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